diff --git a/pandas/tests/groupby/test_apply.py b/pandas/tests/groupby/test_apply.py
index bc8067212d60e..ec454f1b3e93f 100644
--- a/pandas/tests/groupby/test_apply.py
+++ b/pandas/tests/groupby/test_apply.py
@@ -961,3 +961,13 @@ def fn(x):
         name="col2",
     )
     tm.assert_series_equal(result, expected)
+
+
+def test_apply_function_with_indexing_return_column():
+    # GH: 7002
+    df = DataFrame({'foo1': ['one', 'two', 'two', 'three', 'one', 'two'],
+                    'foo2': np.random.randn(6)})
+    result = df.groupby('foo1', as_index=False).apply(lambda x: x.mean())
+    expected = df.groupby('foo1', as_index=False).mean()
+    tm.assert_frame_equal(result, expected)
+    assert 'foo1' in result.columns